Delocalization of Planar Integer-Valued Height Functions and O(2)-Invariant Spin Models

Delocalization of Planar Integer-Valued Height Functions and O(2)-Invariant Spin Models

USC Probability and Statistics Seminar via YouTube Direct link

Intro

1 of 14

1 of 14

Intro

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Delocalization of Planar Integer-Valued Height Functions and O(2)-Invariant Spin Models

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  1. 1 Intro
  2. 2 The Ising Model and Long-Range Order
  3. 3 The XY Model and Continuous Symmetry
  4. 4 Continuous Symmetry and Mermin-Wagner
  5. 5 Peierls vs. The Spin Wave
  6. 6 The BKT Phase Transition
  7. 7 Integer-valued Random Surfaces
  8. 8 Localization and Delocalization
  9. 9 Duality Relations
  10. 10 Lattice Monotonicity for the ZGF
  11. 11 Surgery for the ZGF with Lattice Monotonicity
  12. 12 Surgery with Lattice Monotonicity
  13. 13 Defect lines and level lines
  14. 14 From level lines to slow decay

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